Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian-Reference-Cited by-同舟云学术

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Resolvent kernel on H-type groups and a Green kernel for fractional powers of its sub-Laplacian

Published:2022-05-09 Issue:01-87 Volume:2022 Page:39
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Mouhcine Zakariyae

Abstract

In this article, we give an integral representation of the resolvent kernel on H-type groups, then we derive an integral representation of Kaplan's fundamental solution on this groups. Also we obtain the Green kernel for fractional powers of its sub-Laplacian.

Publisher

Texas State University

Subject

Analysis

Reference19 articles.

1. Abramowitz, M.; Stegun, I. A.; Handbook of mathematical functions: with formulas, graphs, and mathematical tables, Courier Corporation. (55), 1964.

2. Askour, N. E.; Mouayn, Z.; Resolvent kernel for the Kohn Laplacian on Heisenberg groups, Electronic Journal of Differential Equations, 2002 (2002) No. 69, 1-15 .

3. Askour, N. E.; Mouhcine, Z.; Heat and resolvent kernels and a fundamental solution for the octonionic Heisenberg Laplacian, (2021). Preprint.

4. Bateman, H.; Erdelyi, A.; Tables of integral transforms, New York etc., (1), 1954.

5. Bonfiglioli, A.; Uguzzoni, F.; Nonlinear Liouville theorems for some critical problems on H-type groups, Journal of Functional Analysis 207.1 (2004), 161-215.

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